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Dissipative measure-valued solutions for the Euler-Poisson equation Świerczewska-Gwiazda, Agnieszka
Description
We consider pressureless compressible Euler equations driven by nonlocal repulusion-attraction and alignment forces. Our attention is directed to measure-valued solutions, i.e., very weak solutions described by a classical Young measure together with appropriate concentration defects. We investigate the evolution of a relative energy functional to compare a measure-valued solution to a regular solution emanating from the same initial datum. This leads to a weak-strong uniqueness principle.
Item Metadata
Title |
Dissipative measure-valued solutions for the Euler-Poisson equation
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2020-11-27T10:56
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Description |
We consider pressureless compressible Euler equations driven by nonlocal repulusion-attraction and alignment forces. Our attention is directed to measure-valued solutions, i.e., very weak solutions described by a
classical Young measure together with appropriate concentration defects. We investigate the evolution of a relative energy functional to compare
a measure-valued solution to a regular solution emanating from the same initial datum. This leads to a weak-strong uniqueness principle.
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Extent |
21.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: University of Warsaw
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Series | |
Date Available |
2021-05-27
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0398189
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International